TAMPA, Fla. — Lyle Overbay was with the Boston Red Sox on Tuesday. Two days later, it looked as if he was going to be the New York Yankees’ starting first baseman on opening day.

Overbay had an RBI double Thursday as the Yankees ended their Florida segment of spring training with a 2-1 loss to the Pittsburgh Pirates.

New York general manager Brian Cashman said Overbay, signed to a minor league contract Tuesday hours after being released by Boston, had the inside track for the job with Mark Teixeira on the disabled list because of a wrist injury.

“It’s kind of been a whirlwind,” Overbay said.

Overbay’s wife made a round trip drive Thursday to Fort Myers — around 120 miles each way — to get his stuff for the Yankees postgame charter flight.

The Yankees released Juan Rivera, who played extensively at first during the exhibition season.

“Overbay, and what he’s done in his career and playing first base, we were just a little more comfortable,” New York manager Joe Girardi said.

Teixeira is out until at least May with a wrist injury.

Girardi said that Kevin Youkilis could move from third to first when the opponent starts a left-hander. Jayson Nix would then play at third.

Yankees reliever Boone Logan, who left in the seventh after being hit on the left hip by pinch-hitter Jose Tabata’s liner, said he was fine.

Pirates fifth starter Jeff Locke gave up four hits and had three strikeouts in six scoreless innings.

“I would say the biggest thing for me today is a confidence-builder,” Locke said. “It’s easy to feel good about today’s outing, especially when it’s the last one. I’m excited, ready to get roaring.”

Francisco Cervelli had a one-out triple off Locke in the sixth, but was left stranded when Ichiro Suzuki popped out and Vernon Wells flew out.

“I felt like I got ahead of hitters better today than I had in the outings prior,” Locke said. “I was able to throw my changeup much more today. That felt good. Curveball felt good. But the combination from fastball to changeup was what made today the best.”

Yankees starter Hiroki Kuroda allowed one hit over six shutout innings.

Kuroda retired 10 in a row before Garrett Jones’ third-inning infield single, which deflected off the right-hander’s glove. He then got his final eight batters out.

“The main thing was to stay healthy rather than thinking about the mechanics, and I was able to do that,” Kuroda said through an translator about his exhibition season.

The Yankees will start the regular season with Derek Jeter, Alex Rodriguez, Teixeira and Curtis Granderson all on the disabled list.

“It’s part of the game,” New York closer Mariano Rivera said. “No one likes to get hurt, but it happens. What we need to do is just make sure that we play the game the way we know how to play. Do the little things. Pitch. We win games like that. Someone will step up. Someone will do what needs to get done to win games.”